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Finding the Third Proportional to 13,857,709,824 and 32,335,773,696

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Solution

The third proportional to 13,857,709,824 and 32,335,773,696 is: 75,452,746,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857,709,824 : 32,335,773,696 = 32,335,773,696 : x
  2. Step 2: Convert to fraction form
    13,857,709,824/32,335,773,696 = 32,335,773,696/x
  3. Step 3: Cross multiply
    13,857,709,824x = 32,335,773,696 × 32,335,773,696
  4. Step 4: Simplify right side
    13,857,709,824x = 1,045,602,260,518,925,500,416
  5. Step 5: Solve for x
    x = 1,045,602,260,518,925,500,416/13,857,709,824
  6. Step 6: Final answer
    x = 75,452,746,074.11

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.